Question

Manuela has two boxes. The larger of the two boxes has dimensions of 15 cm by 25 cm by 20 cm. The smaller of the two boxes is a cube with sides that are 10 cm long. If she were to put the smaller box inside the larger, what would be the remaining volume of the larger box?

Answer 1

Volume of a cuboid is lenght times depth times height

Volume of the large box is 15×20×25=300×25=7,500
Volume of the small box is 10×10×10=100×10=1,000
7,500-1,000=6,500

6,500cm³

Answer 2

6,500 cm³

Explanation:

Here, the dimensions of a larger box is 15 cm by 25 cm by 20 cm,

So, the volume of the larger box = 15 × 25 × 20 = 7500 cm³,

Now, the side of the smaller cubic box = 10 cm,

So, the volume of the smaller box = side³

`=10^3`

= 1000 cm³

∵ the smaller box is inside the large box then,

The remaining volume of the larger box = volume of the larger box - volume of smaller box,

= 7500 - 1000

= 6,500 cm³